[john70t]

(Not an expert nor a hotel advertisement. Die at your own risk)

The bottom 2/3 of the trunk leans towards the playhouse.
That part is solid trunk.
Enough to support human weight. I hope.

The top 1/3 leans away.
Heavy with foliage and tight quarters to rotate. An electric pole saw extension might help there.
That is the most dangerous part.
Leave a 24" stump on small branches to hang a rope off.

First invest in or rent quality professional climbing gear (spikes/harness/helmet/saw/wedges).
Better yet get a pro to 'advise'.

Drop the top third. Remove as much brush as possible before.
Piece by piece. Go slow.
You have the rest of your life IN TRACTION to think about this.
Take a week or a month.
That is the most dangerous part.

That high up.....the trunk will tend to vibrate and flick you off like an insect.

Then rope away sections until there is enough space to drop the main trunk.