Really? This happened and prior to that something happened and prior to that something happened and prior to that ...
Seems pretty likely. The only situation in which it becomes impossible is when there is a god and that god is the "first cause". Ask yourself, when in that god's infinite existence did it decide to create a universe. How much infinite god-time elapsed before the universe was created?
So, while inductive, it sure seems that an infinite regress is likely.
I think “reasoning” alone isn’t evidence, no matter if it is inductive or not, logical or not.
Without evidence, all the inductive in the world, would still make the reasoning, “speculative”, could be right, but also could be wrong.
And there is certainly no evidence for any god...
...the only evidence that exist, in regard to god, is that there are evidence that there are people who believe in god, because humans have invented gods through either their imaginative beliefs or their deluded beliefs.
Including “god” into any debate of “logic”, like the question of “first cause” or “infinite regress”, is exercise of mental contortions...like trying to stick a square block into small round hole.
I still think infinite regress is just philosophical question, having little to do with sciences.