I was just at a HB as a doula, and the couple had a 2.5 yo. It was hard, so I just wanted to throw this in there...
The couple were very focused on what would be best for their daughter, and thought she would like to be near her mom. This was true - but the mom really struggled w/labor whenever dd was there. The girl had been well prepared, videos, talking, etc., but the reality of her mom attending to ctx (closing her eyes and breathing) really freaked her out.
What I noticed was that mom's contractions mostly stalled when dd was around, and this was already a drawnout labor.

There was a support person for her, but she wanted her mom... Dad tried to be w/dd to give mom time alone, but it wasn't until hours later when dd fell asleep and mom could have dad by her side that labor moved into high gear (4cms to birth in 2 hours after dd fell asleep, lol!)
This is *just* one experience, of course. You know your child and also you know what you need in labor. If you are a person who needs solitude/quiet/focus to labor well, just consider whether this is something you can ask a 2.5 yo for, kwim?
Good luck!