What are the options though, how unlikely they may be? I came across these:

Advanced Base Excision Repair (BER) Techniques:

Imagine a future where advanced technologies allow for the identification and repair of individual damaged bases in ancient DNA. This could be achieved through highly sensitive and specific DNA glycosylases that can detect and remove damaged bases, followed by precise DNA polymerase activity to replace them with the correct nucleotides. This process would need to be highly efficient and accurate to restore the original DNA sequence.

Nucleotide Excision Repair (NER) for Bulk DNA Restoration:

In this scenario, scientists develop methods to apply nucleotide excision repair on a large scale to ancient DNA fragments. This would involve identifying and excising larger sections of damaged DNA, followed by the synthesis of new DNA strands using the remaining undamaged sections as templates. This approach would be particularly useful if significant portions of the DNA are degraded but still contain recognizable patterns that could guide the repair process.

Homologous Recombination for Reconstructing DNA:

This method would involve using homologous recombination to repair and reconstruct DNA strands. If fragments of dinosaur DNA could be isolated, they could potentially be aligned with closely related modern species' DNA (e.g., birds, which are direct descendants of theropod dinosaurs). Using these modern DNA sequences as templates, scientists might be able to fill in the gaps and reconstruct the original dinosaur DNA. This would require advanced computational tools and a deep understanding of the evolutionary relationships between dinosaurs and their modern relatives.

It's hard to accept these codes are just gone forever... Even though from the perspective of the dinosaurs it might be for the better.