The Philippines are NOT involved in any claim to the Paracel Islands.
Here is a map showing the baselines and EEZ per UNCLOS for each of the claimants:
Source: https://www.researchgate.net/figure/Extent-of-EEZ-of-countries-across-the-South-China-Sea_fig2_319349082
If everybody would just stick to that, no problems.
But here is the overlapping claims, incl. China’s "9-dash line:
Source: Timeline of the South China Sea dispute - Wikipedia
When you on top of this mess gets outside parties with their own agendas involved, you got potential for a major conflict that none of the claimant wants.
PS> Dispute in the SCS is nothing new. Back in 1979-80 I was Captain on a drillship working for CONOCO in disputed waters between Vietnam and Indonesia. We could see the lights from another rig, working for VietsovPetro but also in the disputed zone.