apoo, the bad news is that you probably cannot do anything about it directly
because an Az sufferer cannot reason properl ,(and even if they could,
they'll forget so you'd be back to square one.)
What is the deal with her apartment? is it empty? Occupied? Does it need to
be sold? Since the BF is obviously in denial (I note he's not proposing to
have her back to *his* place), disposing of that might at least stop any
pressure from him.

Ultimately time will fix this, if its any help it took my father about 4 or
5 months before he stopped trying to escape.

Dumb question, but is the nursing home not alarmed by this behaviour?
Holy cow, what kind of place has windows a dementia patient can climb
out of? I would say there are some very serious security issues with
the facility, and you should be looking for either big changes in how
they handle things, or move her somewhere else. It is dangerous for a
dementia patient to be able to get out easily, and any facility that
doesn't take that seriously is asking for lawsuits (i.e. your mom gets
out and gets attacked or hit by a car or lost etc.) Never mind that if
she can get out the window, someone unsavory can get IN.

She needs to be somewhere with appropriate levels of security i.e.
bars or non-opening windows, keypads on the doors to get in or out,
and be fitted with a wanderguard so she sets off alarms if she tries
to escape without someone with her.

Further to the very alarming safety issue, you need to talk to the
nursing home about her agitation. There are medications that can help
considerably - if she is very agitated, it makes it hard for the staff
as well, and miserable for her. Talk to her doctor and the caregivers
at the facility, and see what they suggest. If you have powers of
attorney for personal care decisions, you can also speak up about the
boyfriend. If he is encouraging her to do risky things and causing
upset and disruption that is not in her best interest, then I'd say,
its time tell the home he's a big problem and get their understanding
and support. If he keeps it up, I'd suggest not allowing him to visit
without supervision, and perhaps blocking his calls.

I know its very hard, but try not to take what she says too
personally. It is the disease talking, not your mother. She has no
insight into her own problems. She can't understand that she can't
live alone, and all the explaining in the world won't change that. You
have to look at this the same way I look at my 6 year old screaming at
me that I'm a bad mummy because I won't let her go to the park alone.
She's fully confident she can look after herself, cross busy streets
etc. etc. but hey, I'm the one with the adult brain, so I have to make
decisions she doesn't like, and take the flak.

Mary G.

talk to her doctor about meds to help with her agitation (that's
the key word to use).

since her "boyfriend" is not a family member, and is not being
helpful, you could ask the facility to stop him from visiting her
for a while.