Bicycle right-of-way question

[Asstragal]

I'm mainly asking for bicyclists' opinions. Here is the situation:

Car is traveling north on a two lane street with bike lane markings on the right edge of the street (I'd call it more of a bike route marking than a dedicated bike lane). A small group of bicyclists is also traveling north on the sidewalk at a reasonable rate of speed, but slower than vehicles. The car goes past the bicycles and needs to make a right hand turn into a parking lot of a grocery store. The car will get to the entrance/crosswalk first, but the bicyclists would likely need to slow down (yield to the car). Who has the right of way, should the car stop on the road and wait for the bikes to pass or should the bicyclists slow down to yield when they see the car's turn signal from behind?

(For anyone wondering I was an observer of the above situation while outside the grocery store. The car started to turn, but then stopped just prior to the crosswalk when the saw the bicyclists still approaching at the same rate of speed. The bicyclists then stopped and everyone was aggrieved.)

[Kalisspera]

Was it a sidewalk bike path? If so they usually have stop signs that us cyclist should follow. A lot don't (they are idiots). But if it is a bike lane on the road then there are not stop signs and they have the right of way as I understand it.

[ailinmeter]

I’ve had close calls before as a cyclist where a driver didn’t see me or just didn’t care to wait, so now I’m always extra cautious, especially near turns or intersections. The way I see it, staying safe is way more important than being "right" in these scenarios.
Also, cycling comes with its share of unpredictable situations, like this one, which is why I always make sure my bike is covered. A site like https://sundaysinsurance.co.uk/ can be a lifesaver if something happens—whether it’s an accident or damage to your bike.