For example, we have 0% VAT on groceries and they tend to be cheaper than elsewhere in Europe.

The rest of Europe has some strict protectionist policies on food imports to prop up their own agricultural economies. UK is a net importer, so it gets to buy out of both the US and EU agriculture surplus.

Fly over to the US (which doesn't have a sales tax on groceries) and compare prices to Mexico (which also doesn't have a sales tax on groceries). You'll consistently find US prices to be higher because (a) vendors know Americans have more money so they can be charged higher prices and (b) the US is a net-agg exporter and regularly dumps its surplus into Mexican agg markets. This has destroyed the Mexican agg sector and produced a bunch of north-bound migration as a result. But it also makes food rates in Mexico cheaper, as you can bid between local output (produced at lower-than-US wage rates) and surplus foreign imports (sold at dumping rates, because there's too much of it).

And no sane business will eat losses

Businesses routinely eat losses. Some businesses have literally never turned a profit - Lyft, AirBnB, and Reddit have never shown a profit. Amazon famously took 20 years to show a profit, with Tesla and Spotify coming in close behind.

But even after becoming profitable, firms will periodically gain or lose profit margin relative to the prevailing market. A company with a 10% profit margin in Year 1 that sees the marginal rate fall to 8% in Year 2 can't necessarily raise prices to increase profits, because increasing prices will cut into sales volume.

Companies that rely on large pools of customers and lengthy supply chains can and will periodically operate at a loss on the fringes of their business, if they see those fringes as loss-leaders with the potential for growth in future years. Walmart pioneered this strategy back in the 1980s, building unprofitable storefronts in growing neighborhoods under the theory that stacking a claim early on was easier than acquiring property after a development had been completed and filled in.

So every tax penny always comes from your pocket.

Just the opposite. All tax revenue must ultimately come from business revenues, as businesses fund the salaries of the state's labor force. In a state like Alaska or a country like Saudi Arabia, residents get a negative tax based on the gross exports of the local business interests in a given year.

In states like California and New York, the tax base is entirely predicated on the high incomes of locals. And those high incomes are predicated on tech and finance companies paying out enormous salaries. These are functionally taxes paid by the business to employ high-demand staffers, who predominantly live in these states.

States invest in infrastructure to attract workers (most commonly public utilities, police/fire/EMS, and schools). Skilled workers become a magnet for businesses. And businesses pay taxes - both directly to the state and indirectly through taxation on salaries.

Get rid of the infrastructure and public services (as Kansas tried to do a few years back) and you lose the workers. You lose the workers and you lose the businesses. You lose the business and you lose the tax base.

Because, in the end, all tax revenue comes from business activity. If you have a bunch of consumers who do nothing but eat, your state has no real revenue stream.