The petition demands a right to reuse for existing buildings based on three key pillars: (I) tax reductions for renovation works and reused materials, (II) fair rules to assess both potentials and risks of existing buildings, and (III) new values for the embedded CO2 in existing structures.
Here is the organization’s website: https://www.houseeurope.eu/
Maybe only where you live?
AFAIK in most places (and certainly where I live) people pay taxes on heating oil/gas (VAT and oftentimes excises too)
The subsidies come mainly in a form of tax breaks for producers.
But… we were talking about disincentivizing the use of fossil fuels (so that less is burned), not their production (so that more is imported)