Purchase tax would fix it by taxing money "on exit" on foreign purchases of anything. This also works as a tariff without singling out any foreign country as a target for tariff.
> VAT with progressive rate based on item class and price.
Here's your bureaucracy. VAT classification is huge catalog that many businesses are trying to gamble to jump to lower tax rate. Creating it, updating it, adhering to it is a huge pile of decentralized and distributed bureaucracy.
What you are proposing is a spaghetti of solutions. Every interface between the parts and every solution itself is an attack surface for tax dodgers.
Genral purchase tax is unified framework on all transactions that can consistently extract money from the rich through taxing all their spending that intrudes on the markets only when you specifically wish to and gives you clear tool for intrusion in the form of tax credits for specific market actors for whatever reason you wish.
