feat: improve log runs

[S1M0N38]

New format for each log entry:

---@class FunctionCall
---@field name string The name of the function being called
---@field arguments table The parameters passed to the function

---@class LogEntry
---@field timestamp_ms number Timestamp in milliseconds since epoch
---@field function FunctionCall Function call information
---@field game_state_before G Game state before function call
---@field game_state_after G Game state after function call

This is related to #38.