What is the ruling on remaining in the mosque after the Tarawih prayer for communal supplication with the Imam, knowing that this takes a long time?

If exiting the mosque quickly after Tarawih causes harm to worshippers, then one must abandon pushing and shoving and be patient until the crowd lessens.

And if the Imam is making a specific supplication after Tarawih, there is no harm in saying "Ameen" to his supplication as long as you dislike his action and are not participating with the worshippers in their gathering, but rather are standing ready to leave. However, if the Imam does not adhere to a specific supplication, the matter is less serious. As for gathering for a specific supplication after Tarawih, it is considered an innovation, and it is not permissible to participate with the people of innovation in their innovations.