You may have a weak igniter. I have seen them fail when the rig has run out of gas. The extra strain makes them go weak and miss fire
You said the check light comes on in 45 seconds. That sounds quick but maybe they changed the timing sequence They use to try 3 start and purge cycles and went out on safety. May have takes 1.5 minutes or more for all 3 cycles.
Try this, when you turn the fridge on gas (after resetting the fault light or just been many minutes or more) go out and listen next to the fridge. You should head snap, snap snap non stop for at least 30 to 45 seconds. About once a second. If get erratic firing, snaps 2 times then misses 5 and gets 1 , then missed 4 more then gets 2 etc, your igniter is having issues.
Under a normal fully purdged gas lines the igniter only snaps 1 to 2 times and it is lit. In the air filled system the strain on the igniter makes it have to fire non stop and in this case the spark is weak and intermitten.
When this happen to me, I lit the burner by hand. After waiting for all gas to purdge out, I took the shields off to get to the burner. Used a grill lighter to create flame over the burner slots, had wife turn on the fridge on gas, heard the click of the gas valve and within a second or 2 it lit.
Then every cycle time it needed to work, it only took 1 or 2 snaps and it was going. That was 4 years ago... on the same igniter. I bought a spare and have it with me, but unless the line to dry this situation never shows up.
Here are some pics of how far into the sheet metal you have to dig.
The recall heat should has to come off.

Then it looks like this

Then the little cover over the burner
Now looks like this

Here you can see the sparking electrode over the gas burner slots. That is where you will light the burner

If you do not feel totally comfortable doing this, then stop and find someone who has done it before. The older fridges that were all gas, and lighting it by hand was common. Some have used a match, I prefer a grill lighter to get me some distance
Hope this helps
John