The word just has little to no semantic meaning in that example.
Note that there's another nearly identical use of just moments before at around 0:13 in the recording:
And, you know, we're just so happy to be here
I would call this use of just a discourse marker or maybe filler.
From the linked article on discourse markers:
A discourse marker is a word or a phrase that plays a role in managing the flow and structure of discourse. Since their main function is at the level of discourse (sequences of utterances) rather than at the level of utterances or sentences, discourse markers are relatively syntax-independent and usually do not change the truth conditional meaning of the sentence. Examples of discourse markers include the particles oh, well, now, then, you know, and I mean, and the discourse connectives so, because, and, but, and or.
Put maybe a little more simply, a discourse marker does not have meaning on its own, nor does it change the core meaning of the sentence, but it can chage the vibe. That is, it can make the sentence sound more serious ("Look, John, if you don't act now..."), less serious ("I, like, almost died"), show agreement ("I know, that restaurant is the best"), etc.
But discourse markers, because they don't have much content, can also function as filler words, whose only purpose is to fill in a pause, perhaps while the speaker is gathering their thoughts, or maybe to change the meter or rhythm of the utterance.
The first example I quoted seems to show this. The "and", "you know", and "just" seem to be more like fillers - allowing the interviewee to think about what she wants to say, without pausing and remaining silent.
The second use might be the same, that is, a filler, except that it fills in a much briefer pause, so it's not as obvious. It also might be some kind of discourse marker, whose subtle meaning is not entirely clear. Maybe it's something like a hedge, meant to suggest a degree of modesty.
Further reading on just as a hedge: I just think. . . : The meaning and discourse role of just