Is saying 'my team' bad form in a cover letter?

Question

I have two options in mind for a sentence:

I realized that the team I was on would also work on that migration project.

vs.

I realized my team would also work on that migration project.

I posted this on writing.stackexchange, first, and found out that at least one person thought I meant to convey that I was a manager. I was an individual contributor, so another option I considered - that I hope avoids that misunderstanding - was:

I realized our team would also work on that migration project.

Albeit I'm not sure how big of a problem using 'my' vs. 'our' is.

Edit: I thought I had written this in the other post, but I forgot to mention that the original reason for asking this was that I vaguely remembered somebody saying that if I say 'our team' or 'my team' that that sounds like I'm still mentally with the company.

Edit: Deleted writing.stackexchange post

Answer 1

"My team" on its own can imply that you were the team leader or manager.

"Team ABC", as suggested in another answer, unfortunately removes your connection to the team.

However, they is a way to provide context. You just need to make it clear what your position was in the organisation before taking about the work you and your team. As long as you make it clear at the outset, by saying something like:

While at company IntelliCo I was a developer in a team of five.

You can then refer to it as "my team" without ambiguity.

Answer 2

If you have a name for the team like 'Team ABC' then you can phrase it like.

I realized "Team ABC" would also work on that migration project.

Otherwise I believe that in the context you are asking this the 2nd choice makes more sense, if its really to avoid being considered the manager of the team.

I realized our team would also work on that migration project.