There are a few mistakes worth pointing out here. I'll try not to "flame you" and just get to the mistakes or misconceptions. First, just because time has passed does not mean the impact of slavery is gone, not for the countries that were sources of slaves nor the families descended from slaves nor the states that benefitted from slavery. Think of the way wealth and influence get passed down between generations. In a similar way the King and the house of Windsor accumulates intergenerational wealth on the backs of slavery, the decendents of slaves accrued an intergenerational debt that is still weighing on many of them. The whole idea that historical wrongs "impacts nobody today" is, frankly, just false.
Another issue is this idea that slavery doesn't continue to impact these countries seeking or reccomended for reparations. There areany lingering impacts, but let's just look at population impacts. Conservatively,1833 was 8 generations ago. Take just 2 people out of a slave source country 8 generations ago, and assume they would have stayed behind to have children, assume 3 kids per pair, that's 3281 people just missing from that country. 3281 people that would have worked, farmed, conducted trade, produced art and conducted academics for every 2 slaves taken in 1833. How many slaves were taken? Just based on the population math how can anyone deny the impact.
Another mistake is to conflate you, personally, with the state. The state is permanent, its human members ephemeral. You may not personally be responsible for slavery, you may not benefit in any way, but the state did and the state is still responsible today for its historical wrongs and the continuing damage. You're worried about your £569, but a bigger concern is that the state can freely commit attrocity, then avoid culpability by just waiting out the directly impacted. Honestly, you should be focused not on denying the damage of slavery, historical and current, and focus more on which rich asshole the state should tap to make pay. Got any old money arristocratic families hanging around the UK that could use lighter wallets?