What prevents the Sun's remnant core from collapsing beyond the Chandrasekhar limit?

The Sun will not approach the limit after shedding its outer layers

The Chandrasekhar limit is a critical threshold, approximately 1.4 times the Sun's current mass, defining the maximum mass a white dwarf remnant can possess before its own gravity forces a catastrophic collapse. The Sun is guaranteed to follow the path to becoming a white dwarf because it does not have sufficient initial mass to initiate fusion past carbon. Furthermore, during the Red Giant and Planetary Nebula phases, the Sun loses a substantial fraction of its material—estimated to be 40 to 50 percent of its total mass. This significant mass loss ensures that the resulting white dwarf remnant will be well below the critical Chandrasekhar limit, thus guaranteeing stability against gravitational collapse.