Given that you say "game laptop" and that you can run Steam at all, that's obvious.
In the last two decades, all 32-bit machines were either embedded, or 64-bit CPUs with a broken BIOS made by idiot vendors for the lowest tiers of the market -- while laptops marketed as game are mid to high end. And I don't think those broken BIOSes were sold anymore after 2010 or so.
Meanwhile, Steam and games do use opcodes added to the ISA a lot later than that, with no fallback. They do use opcodes from newer ISAs, and fall back from those -- but they don't bother to support CPUs that old.
Case in point: recently, at my family place, invading kids blabbed about games. As all my newer machines there are either ARM or RISC-V, I had to attach a Phenom2 box (the very latest stepping, from 2010). An old game that worked before had an update, and boom! -- it kept crashing on startup. I actually looked into the crash dump and disassembled the failing code -- it used an SSE4.2 instruction. I mailed the game's maker, but they weren't amused. Understandably, as to have any playable frame rate on that machine I had to hack up a resolution not supported by the monitor's EDID.
And I hear that Microsoft dropped support for my home X86 desktop -- 2990WX, a fat 64-way Threadripper+, barely 6 years old. Fortunately I have no need for Windows at home, but it shows how much proprietary software companies care.