Definitely insist that the tenant provide a police report number prior to you paying for anything.
.....and by what practical mechanism do you propose to achieve this definite insistence ??
The glazier won't work for the agency again if he isn't re-imbursed for the work (both materials and labour) immediately.
The PM doesn't want to upset the good working relationship they have with "their glass guy".
It's no skin off the PM's revenue stream to keep the good relationship. It's a simple case of ripping the cash from the already deposited rent.
The wood-duck at the end of the cash line is in absolutely no position whatsoever to be insisting anything at all. Says so in the agreement they signed....authorising the Agent to "gleefully rip away".
Tenant meanwhile, doesn't give two figs either way about the whole affair. The window was replaced at no cost to them, and no-one can prove otherwise.....job sorted.
What exactly do you propose the Landlord do to enforce their "insistence". Stomp their feet loudly. Indeed, the RTA to which they rely upon for teeth in matters such as these is like a 99yr old gummy chops.
Good luck yadeh trying to get anyone to chip in for your window, with the tenant and both the RE co. and the insurance co. You're up against it.....
In similar occasions to these, I think this is "it's not fair how come I need to pay this" complaint # 414 on the forum, the established practice by wiser counsel than I at the end of the thread always concludes with the line.....it's only a small amount of maintenance cash, just keep thinking of the big picture. Works a treat every time.