Can I run race gas in my car?

I have a 2004 Mustang GT 5speed
Mods:
BBK cold air
SR 70mm throttle body
SR coil packs
BBK Off road X pipe
Flowmaster catback
93 Oct Bama race tune

I like to race my race about onece a week at the track and I have always just used octane boosters(VP 8 number booster). I found a pump near me that sells much higher octain like around 100-120oct. Could I run this gas? Are there dangers To it? And would this really be any better then the VP booster? I have used the booster for over a year it's not magic but it give a little boost if consistently used at each fill up.

Added (1). Also have Ford raceing intake manafold

Technically you should find out what the block is rated at, piston rating, manifold rating all that good stuff because you can blow the motor, hypothetically speaking if it's from a gas station you should be fine, I've found more octane equals better mpg but I know the number my block can take so I've never gone above that

Nothing you have done has changed the compression ratio of the engine. Using a higher octane is just fooling yourself and wasting money. Octane rating has zero relationship to the power the fuel contains, just how well it resists detonation when compressed.

The reason that you may need to use higher octane is if you have increased the compression ratio, or are using forced induction (turbo / supercharger). These are common ways to actually get more power from an engine, hence it's done to "race" cars. This actually increases the pressure in the engine, and if that causes detonation, the engine will be quickly damaged.

But NONE of your mods have changed the engine internals (or produced much extra power). So you get no benefit from higher octane fuel.

Nothing you've added requires race fuel. High octane fuel doesn't provide more power. You haven't increased compression. You haven't modified the engine to run 8,000 RPM. There's no reason to use a higher octane than pump premium.

It really won't help. Even with these bolt ons your engine is basically stock and pump gas is all it needs.