Ann: Quarterly Cashflow Report - June 2023, page-137

Ahh the joys of accounting.

AFAICT it goes into section 2 because Puna Mining S.A. is an "other entity" i.e. they are not strictly AGY's operating costs (happy to be corrected).

However, the devil is indeed in the detail and it is important to dig into it:

AFAICT:
The company raised $30M in Q1 2021 so they could fund the 2ktpa plant and other (more minor) expenses. Subtract transaction costs, add existing cash, they had about $30M at that time.
Since then (2021 + 2022 + 2023H1), "funds sent to Puna Mining to fund development costs of Rincon project" by AGY have totalled about $37.4M.
They had additional cash come in from exercising of options in 2021 and 2022, hence they had more than the $30M available in early 2021, and still have $23.5M cash now.

So, the real question regarding the capacity of AGY's current cash balance is this, imo:
How much does AGY expect/plan to provide to Puna Mining S.A. in the current and coming quarters?
I don't think that is stated anywhere.
Considering that construction of the 2ktpa plant is now complete, it may indeed reduce....but we also do not know Puna's cash balance or projected spend rate, so we just don't know how much more cash, if any, will go to them from AGY in the coming period/s.
Jerko would have a pretty good idea though!

FWIW, here are the relevant amounts sent to Puna since the start of 2021, afaik:
2021 H1: $2.299M
2021 H2: $7.724M
2022 Hi: $6.286M
2022 H2: $9.497M
2023 H1: $11.612M

I haven't triple-checked these figures, DYOR.

(All figures from AGY qtrly cashflow reports / announcements)