ANSWER:

This is permissible and there is no problem in praying tahajjud after that. However you must not repeat the witr if you already prayed it with taraweeh because there’s only one witr per night.

shaikh my question is regarding praying tahajjud prayer even after completing the tarawi with the imam, I heard some saying it is not permissible to add after tarawi and some are saying it is, pls I need more clarification.

Taraweeh, Tahajjud and Qiyam-ul-Layl | May 13, 2019 8:17 am
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When you miss one rakah of taraweh because you go after isha to wc, then do you need to make it up after imam says salam?
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I pray 20 rakat qiyamul lail in a hanfi masjid just after isha prayer with congregation.i also pray 3 rakat of witr in congregation with them.But i wake up in last part of night to pray tahjud.Do i need to pray witr after tahjud or praying with congregation after isha is fine.?