Please help identify lump on dog's face

My poodle Teddy has a lump on the right side of his face near his jawline. I have had our vet look at it a few times and he was unconcerned, but I am still quite worried about it.

Teddy has had this lump for a number of years and it has not changed significantly.

There is little to no hair growing on the lump, and it is fairly squishy to the tough. It leaks clear fluid on a regular basis, even more if gentle pressure is slowly applied. It does not appear to be something that one could lance, like a cyst. My guess is that it is a solid growth that is either infected or leaking sebaceous oil.

Teddy is 17 years old and has numerous harmless sebaceous adenomas. My vet has suggested this lump was similar to the sebaceous adenomas, but this growth seems significantly different.

Any help in identifying this would be greatly appreciated.

Below are some photos:

I'd go with the vet tbh, my Staffie has a similar lump although his has hair on it but it's definitely in the skin and not attached to muscle.
At 17 you wouldn't consider surgery surely.

Thank you for your reply. Yes, the lump is only in the skin on my poodle as well.

I would prefer to know exactly what it is for peace of mind if nothing else. Thanks again!

Repost of photo: