it's an understandable worry, I don't want to come across as prescriptive or presumptuous but if you're out I would encourage you to use your chosen name and work on confidence in putting forward your actual identity in situations like that rather than leaning on your deadname, feeling like you have to say you're trans upfront etc. I don't know you and don't want to make assumptions but I've seen people who do this stuff in early transition and it often seems to me like a way of undermining themselves. I think the best thing you can do is just roll with putting forward your true self and not make those kinds of concessions preemptively. sure it may lead to awkward situations down the line (believe me I've been there with employers) but I think it's worth the boon in self confidence that comes with fully putting forward your true self and not undercutting.

sorry if it comes across prescriptive or if I made any undue assumptions about you. I just wanna see my trans comrades gaining confidence and to be brutally frank I guess I think putting your deadname and the fact you're trans on a resume isn't really a step in that direction.