2 Typo and minor wording change
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"Consideration" can mean the payment for a service. So "Thank you for taking X in consideration." means "Thank you for taking X as a payment". The sentence "Thank you for taking me in consideration" leads to all sorts of questions (that are off topic for this site) as to how a person can be used a payment for something.

The other two forms in the question (namely "Thank you for taking me into consideration" and "Thank you for considering me") both mean thanthank you for thinking of me (or about me).

"Consideration" can mean the payment for a service. So "Thank you for taking X in consideration." means "Thank you for taking X as a payment". The sentence "Thank you for taking me in consideration" leads to all sorts of questions as how a person can be used a payment for something.

The other two forms in the question (namely "Thank you for taking me into consideration" and "Thank you for considering me") both mean than you for thinking of me (or about me).

"Consideration" can mean the payment for a service. So "Thank you for taking X in consideration." means "Thank you for taking X as a payment". The sentence "Thank you for taking me in consideration" leads to all sorts of questions (that are off topic for this site) as to how a person can be used a payment for something.

The other two forms in the question (namely "Thank you for taking me into consideration" and "Thank you for considering me") both mean thank you for thinking of me (or about me).

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"Consideration" can mean the payment for a service. So "Thank you for taking X in consideration." means "Thank you for taking X as a payment". The sentence "Thank you for taking me in consideration" leads to all sorts of questions as how a person can be used a payment for something.

The other two forms in the question (namely "Thank you for taking me into consideration" and "Thank you for considering me") both mean than you for thinking of me (or about me).