I think "bringing out" is rather more common, but both are grammatically valid. Either would be understood by a fluent speaker, and there is no significant difference in meaning.
Even so, the difference in reported usage is non-trivial.
"The hot weather has brought out all the blossom on the fruit trees" ... . "Will the sunshine bring out the rose?" "Ramesh Publishing House has brought out an immensely valuable and useful book titled 'Word Power'" from For Complete Master Over Written & Spoken English Phrasal Verbs in Daily Use By J. K. Arora · 2018 ISBN: 9788183481526 (a ‘Dictionary of Phrasal Verbs) [page 14]
"However, so far the Institute has brought out 33 publications in the form of bibliographies and checklists. Gujarat University Library brought out the list of books on ( a ) education, ..". from Social Science Information in India: Efforts Towards Bibliographical Control
By S. D. Vyas · 1992 - Page 149 ISBN 9788170224457.
"It has brought out in the past a publication, Doctorates in Social Sciences" from Development of Library Services in India: Social Science S. P. Agrawal, Suren Agrawal · 1989 Page 34
"Some particles can be shifted to the right of the succeeding noun: ELBS has brought out a new book. ELBS has brought a new book out." from Adv Communicative Eng - Page 53 by Krishna Mohan, Meenakshi Raman, Meenakshi Raman · 2010
"Mr Shukla has brought out three books this year" from Learners' English Grammar And Composition (On Modern Lines) by
N.D.V. Prasada Rao · 2000 [page 148]
"... who has brought out two novels with a major publisher. " from *Out of Russia: Fictions of a New Translingual Diaspora - [Page 50] by Adrian Wanner · 2011
"Thermo-Calc has brought out a new HEA thermodynamic database (TCHEA) to assist researchers in the calculations in multicomponent space." from High-Entropy Alloys - [Page xiii] by B.S. Murty, Jien-Wei Yeh, S. Ranganathan · 2019
"As for Ted Hughes , he has brought out a new collection entitled Rain - Charm for the Duchy" from Outcasts from Eden: Ideas of Landscape in British Poetry .[Page xv] by Edward Picot · 1997
"She has brought out numerous books and articles in national and international literary magazines." from India-Pakistan: Partition Perspectives in Indo-English Novels by V. Pala Prasada Rao, K. Nirupa Rani, Digumarti Bhaskara Rao · 2004
"AMD has brought out ATI and developed Puma, a new range of chips for laptops." from EBOOK: Microeconomics - [Page 584] by Wyn Morgan, Michael Katz, Harvey Rosen · 2009
"Historically, Intel has brought out its next generation of chips to thwart AMD and other competitors... " from PC Mag - Mar 28, 1995 - Page 91
"Periphonics Corp. has brought out several software modules that allow its T-Comm 7 front-end processor to support retail point-of-sale (POS) terminal systems." from Computerworld - Sep 11, 1974 - Page 29
"Raycom Systems, Inc. has brought out two new versions of its fiber-optic extenders for token-ring networks." from Network World - Jun 29, 1992 - Page 19
"The General Dynamics that responsible for many simulation training systems has brought out the idea of Network-in-the-loop, ..." from Computer And Network Technology - Proceedings Of The International Conference On Iccnt 2009 [Pasge 73] ISBN 9789814466332.
"Jam, in Collaboration with Whirlpool and Corian, has Received a fully interactive kitchen with soft lines and warm textures and Philips has brought out the Cafe Due ...* from The International Design Yearbook 2001 - [Page 179] by
Michele De Lucchi, Jennifer Hudson · 2001
"I do not know how many new products he has brought out ..." from "Liability Insurance: Hearing Before the Subcommittee on Small Business"(1987) United States. Congress. House. Committee on Small Business. Subcommittee on Antitrust, Impact of Deregulation, and Privatization·
"... the product of that union — Nixdorf Computer Software Co. (NCSC) — has brought out its first software offerings to the IBM and compatible mainframe market" from Computerworld - Sep 8, 1980 - Page 47
"The System Products Division also has brought out the PC XT/370, a PC combined with a machine that runs, ..." from InfoWorld - Oct 15, 1984 - Page 42
"Computer Associates has brought out a feature-packed software package." from InfoWorld - Jan 30, 1984 - Page 9
"Texas Instruments, the semiconductor company, has brought out a computer-aided design system which runs on an IBM Personal Computer..." from New Scientist - Nov 1, 1984 - Page 23
"it has brought out eight new generations of computers in ten years" from Performance Engineering at Work - Page 404 by Peter J. Dean · (1999) quoting the Wall Street Journal, September 5, 1991
"The manufacturer has brought out a line of three ruggedized IBM - PC / AT compatible computers." from Control Engineering - Volume 34, Issues 1-6 - Page 175(1987)
"Hewlett-Packard Co. has brought out two new small computer systems interface (SCSI) subsystems for mass storage." from Computerworld - Aug 5, 1991 - Page 29
"Since the initial launch of this product in August 2000, Oracle has brought out version 2.0..." from Bridging the Global Digital Divide [Page 52] by Jeffrey James · 2003
"Two years later, Tandy has brought out the Model 100's successor, the Model 200, a laptop computer that offers ..." from InfoWorld - May 13, 1985 - Page 46
"Apple has pulled the plug on the Mac Ilfx , until last year its most powerful machine, and has brought out a 33MHz Quadra" from Information Technology Digest - Volume 1 - Page 20 (1992)
"Unipress Software of Edison, New Jersey, has brought out its Uniplex II product, a Unix-based office automation package" from InfoWorld - Jul 8, 1985 - Page 21
"Intel has brought out a steady stream of new microprocessors from the 8080 series to the Pentium in all its variations.variations " from No-Nonsense Marketing: 101 Practical Ways to Win and Keep Customers By Victor H. Prushan · 1997 ISBN 9780471157076, published by Wiley [page 120]
"President Richard A. ... Boise has brought out new models at an aggressive pace , giving competitors little opportunity ..." from Business Week - Issues 3202-3211 - Page 79 (1991)
"AccessData has brought out a product called NTpass, a NetWare password recovery program ..." from Network World - Nov 23, 1992 - Page 11
"In addition to the 1900S series, ICL has brought out a new version of the old 1902A computer" from New Scientist - Apr 29, 1971 - Page 266
"The Ingres Products Division of Ask Computer Systems has brought out what it calls the first terminal - based fourth - generation ..." from Predicasts Technology Update - Volume 47, Issues 1-26 - [Page 8] (1991)
" ... everyone has brought out a rival version—even HP, with its 65-font ProCollection cartridge." from PC Mag Jun 13, 1989 - Page 218
"Now Xerox Imaging Systems (XIS) has brought out the first portable reading machine." from PC Mag - Mar 16, 1993 - Page 31
"Microsense has brought out Sportster Si 14.4 Faxmodem , which has been developed by US Robotics." from *Dataquest: DQ. - Page 79 (1996)·
".. because a competitor has brought out a successful new product (i.e. one which sells) we will produce one as well." from The Marketing Matrix: How the Corporation Gets Its Power - Page 41 by Gerard Hastings · 2013
"Lotus has brought out a product that will When used with the EGA ..." from Personal Computing - Volume 10 - Page 45 (1986) ·
"Burroughs has brought out a series of competitors ' products ..." from Time - Volume 100 - Page 10 (1972)
I have skipped all results where "brought out" is used in the sense of "brought to notice" or in uses such as "brought out the best/worst in". I have also skipped the many uses in legal contexts where "brought out" refers to evidence developed during a case. I have also skipped many uses in religious contexts, largely referring to the Exodus from Egypt. I think the above 24 published examples should be enough to refute the suggestion that such a use of "brought out" is "non-standard AmE English". Note that some are from technical publications specifically discussing product releases, and some are from books of instruction on the use of English.