Do you need help moving that goalpost? I thought we were talking about whether there is a known mechanism by which life could arise. Now you want to limit it to life in early Earth conditions only? They made amino acids with inorganic compounds with an infinitesimal simulation of planetary conditions. Pretty compelling reason to continue experimenting I think.

Goog on replication of the experiment:

Yes, the 1952 Miller-Urey experiment has been replicated and updated many times, confirming that organic molecules, including amino acids, can form from inorganic precursors under simulated early Earth conditions. Modern variations using different atmospheric compositions and energy sources have produced a wider variety of organic compounds, including nucleobases, supporting the concept of abiogenesis. Key Findings from Replications:

Diverse Amino Acids: Replications have produced over 25 different amino acids, compared to the 5 originally identified by Miller.
Alternative Conditions: Studies using volcanic, neutral, or slightly reducing atmospheres (like CO-based, rather than methane-ammonia) have also successfully produced organic compounds, demonstrating the process is robust
.
Catalytic Surfaces: Re-examinations suggest that minerals and, in one case, silica from the glass apparatus itself can play a catalytic role in synthesizing the "prebiotic soup".
Limitations: While amino acids and other building blocks are easily produced, these experiments have not created self-replicating, living organisms. 

Although our understanding of the specific composition of the early Earth's atmosphere has changed, the fundamental finding—that organic molecules are easily synthesized from simple inorganic ingredients—remains a cornerstone of prebiotic chemistry.