Yes, admit is a Scrabble word!

Verb

1. Declare to be true or admit the existence or reality or truth of

2. Allow to enter; grant entry to

3. Allow participation in or the right to be part of; permit to exercise the rights, functions, and responsibilities of

4. Admit into a group or community

5. Afford possibility

6. Give access or entrance to

7. Have room for; hold without crowding

8. Serve as a means of entrance