You Are already on notice that due to Alzheimer’s he is likely to need care - that’s almost guaranteed.
He has very limited funds
Care costs are approximately £60,000 to 100,000 plus per annum so how much is the flat worth?
Before it comes to that, he might need to buy in care eg cleaner, PA to take home out, taxi fares etc. This is really common place. Also expensive at about £20 per hour for a PA or if agency £35 per hour. Not having funds could restrict his life at the pre care home period.
If he can’t afford his own care costs when the time comes he will be placed by Local Authority - he might hit jackpot and be placed somewhere nice but he equally might be placed somewhere unpleasant.
If he can afford to choose his placement and be there for a good while this means that there could be a strong argument to keep him there when eventually he runs out of funds. He has got himself through the door so to speak
Average time in care homes is 3 years but for instance someone I know is now aged 96 with dementia on their sixth year. The family set aside one million before distributing funds and it’s looking close now.
Most people are refused CHC funding so it will be social care and payable.
People who do distribute funds tend to do a rough calculation and work out say the cost of say 5 or 6 years care or even more and decide if there is a surplus. But even that is a gamble.
As he has Alzheimer that also opens a can of worms about capacity to make a decision to gift and financial abuse etc. I would be worried about ensuring you have medical evidence that he has capacity or sorting out a POA whilst he does for money and health - you should get that done anyway as getting a deputyship is lengthy and it’s more onerous.
Also do you have siblings - that could be another can of worms.
The local authority can go back years
Personally I would not take his money as he is going to need it. If you can afford it then pay the school fees yourself and if he leaves money when he dies there will be an inheritance.
I would not want my parent at the behest or mercy of the local authority or having an argument about whether he should or should not be moved from a nicer care home. At this stage, every penny counts unless his flat is worth over a million etc. or a lot of money.