Do you need to correct the invoice if the contractor has not paid for the training service provided?

The training company provided a training service to a company, with 80% of the cost being funded by public funds.
The training service was related to the gastronomy industry and aimed at professional development.
The training company issued a VAT-exempt invoice based on the exemption regulation.
The training company had access to a promise issued by the agency, stating that they would refund 80% of the training service cost.
The participants’ registration for the service was done using an ID number provided to entities receiving funding for development services.
The training company wants to take legal action to obtain payment from the recipient company.
The recipient company did not pay the invoice, and the training company was likely unable to settle the service with the agency for reimbursement.
The training company is not entitled to information about whether the recipient company settled the service.
The training company was not part of the education system or accredited according to education laws.
It is uncertain whether the training service will be refunded with public funds.

Note that this post was (partially) written with the help of AI. It is always useful to review the original source material, and where needed to obtain (local) advice from a specialist.