Pertti gives some good advice about definitions. What is the exact type of freedom we are arguing for? However, this challenge is not unique to free will but philosophy in general, hence I do not think it's futile to have this discussion but we do need to acknowledge that "free will" is too vague -- apart from grabbing clicks and book deals, a serious discussion of this (or any philosophical topic) requires a lot more adjectives and qualifications ;)
Free will has been a long-time interest of mine, so I'll offer my thoughts and suggestions for more reading for you. At the risk of oversimplifying, we have two broad camps:
Countercausal free will (libertarianism and it's relatives): The freedom to do otherwise in the exact same circumstances. The current state of the universe (S) does not determine our behavior in the next moment. We had the freedom to choose a different option.
Compatibilist free will: Freedom is the ability to choose the option that is consistent with our reasons and desires. We do not have the ability to choose other than we do. The current state of the world has a deterministic and/or random relationship to the future state.
To me, the crux of the debate centers on the causal mechanism underlying the freedom being argued for.
- Event-based causation: events cause events -- this view doesn't really have room for freedom in the libertarian sense so is often associated with compatibilist and determinist positions.
- Agent-based/substance causation: Causes "originate" in agents or substances, not events. The key difference being agents are argued to have a novel sort of indeterminism that is non-random.
Both of these views rub against some deep intuitions we have while also playing to others.
The agent-based causation view best aligns with our experience of ourselves as owners or "originators" of our choices -- there is this sense that our choices are ours in a way that could (or should) be independent of the myriad drives and external forces. There is a decidedly moral dimension to this sense, as exemplified by the complement "He/she is strong of will" -- meaning they are able to maintain this inner freedom despite external causes and forces.
However, once we scratch the surface, we find it hard to identify how this type of freedom doesn't boil down to involuntary or random choice despite our feeling or desire to have it be "determined by us". If we can give a reason we chose something, then it was the playing out of these reasons that led to our choice (not some je ne sais quoi). If we cannot, then it appears that agent-based free will operates arbitrarily. If we argue that our free will chooses the reasons, then we are left with the same questions about why those reasons, and so on.
It's not clear how you can give a coherent definition of this non-deterministic/non-random process. From a computer science viewpoint, such an algorithm cannot exist, so I fail to see how this idea holds.
The event-based causation best-aligns with our experience of things other than us, where we see apparent cause and effect as "this happens then that happens". The advent of computers has offered a (too) ready analogy for our minds that also exemplifies event-based causation. The main issue with event-based is that is implies our mental events are caused by prior mental events and so there isn't a "thing" that sits in between -- but we feel this "homunculus" very strongly. So strongly we cannot not thinks as if we did have countercausal free will.
At the root is if there really can be such as thing as a non-random/non-deterministic algorithm. That would be a great place to read up on, as there is a long history of research here from computer science: https://dl.acm.org/doi/pdf/10.1145/321420.321422