Time out in between innings

[Linknblue]

Between innings:
Pitcher & cather warming up. Rest of team is conferencing with coach in front of dugout. 5 pitches/1 minute are done.

Blue: "Coach, take the field please!"

Coach: "Nope! Give me time out."

Blue: "Ok! Time out!"

1. Is the "enter the playing field" considered between the lines or just outside the dugout?
2. I'm assuming this to be a "charged" defensive conference assuming that "the playing field" is outside the dugout.
3. A minute goes by and coach isn't done yet. Do we tell coach he's to take the field or another charged conference will be the result?

A game came close to this the other day with someone else and it brought these questions up.

Thanks