Nice work. I feel like there must be some way to triangulate the sound source through direct calculation, but that trigonometry is too advanced for me.
If you want to avoid doing the maths I think you can draw the problem out (assuming the world is a flat piece of paper and the source is located on the same piece of paper with you)
From the timings given you can work out the distance from location B and C to the wavefront when it hits point A (4 x 330 and 6 x 330).
If you then draw a circle centered at point B with radius 1320m, and a circle centered C with radius 1980m, then there is only one circle you can draw that intersects point A, and is tangent with the circles drawn at B and C. The center of that circle is the source (with an appropriate radius of error for timing measurement and distance measurement between A, B, and C)
Epic comment and diagram, thanks. From this, how can we calculate bearing and distance from one of our locations to the source? Edit: I see that we can use multilateration suggested by parent-sibling comment if we just had distance to source (ie radius of unique tangent circle).
ChatGPT tipped me off that it's called multilateration and provided the formulas. I Google search turned up this Python code: https://github.com/glucee/Multilateration
"multilateration (MLAT) ... is a technique for determining the position of an unknown point, such as a vehicle, based on measurement of the times of arrival (TOAs) of energy waves traveling between the unknown point and multiple stations at known locations."
From the timings given you can work out the distance from location B and C to the wavefront when it hits point A (4 x 330 and 6 x 330). If you then draw a circle centered at point B with radius 1320m, and a circle centered C with radius 1980m, then there is only one circle you can draw that intersects point A, and is tangent with the circles drawn at B and C. The center of that circle is the source (with an appropriate radius of error for timing measurement and distance measurement between A, B, and C)
https://imgur.com/a/tqV0ToU