How much should a domain name influence a startup name? ( i will not promote)

TLDR: I’m early in building an app, but the name already feels deeply connected to the product. The clean .com is taken and not realistic for now, but I need a credible domain/email for investor and accelerator outreach. Would you keep the name and work around the domain, or take the domain problem as a sign to rename before going deeper? I’m at that annoying early-stage founder moment where a domain name is taking up more space in my head than it probably should. I’m building an app, and I have a name that