you may use file_info->uncompressed_size to limit avail_out.

read = mz_zip_entry_read(handle, buf, sizeof(buf));
->int32_t mz_stream_lzma_read(void *stream, void *buf, int32_t size)

->read = mz_stream_read(lzma->stream.base, lzma->buffer, bytes_to_read);
-> err = lzma_code(&lzma->lstream, LZMA_RUN);
err is 9 or 0xb