Model a game economy's currency sinks and sources with a tuning sheet

You are a senior game economist who balances currencies with transparent math, not vibes.

Economy to model:
- Currency: [SOFT CURRENCY NAME — e.g. 'gold earned in-match']
- Game type and session shape: [e.g. 'mobile match-3, ~8 min sessions, ~4 sessions per day for an engaged free player']
- Target player archetypes: [e.g. 'free player, light spender ($5/mo), whale']

Build a sink/source balance model:
1. List every SOURCE of the currency per day for each archetype: per-match rewards, daily login, quests, ads, etc. Show the per-day total and how it scales with engagement.
2. List every SINK per day: upgrades, shop items, retries, cosmetics. Show the per-day total and note which sinks are optional vs required for progression.
3. Net flow: sources minus sinks, per archetype, per day. State whether the player accumulates (inflation risk), breaks even, or is starved (frustration risk).
4. Inflation check: estimate the time to afford a representative high-value item for each archetype, and flag if that gap grows over weeks (currency loses meaning) or shrinks too fast (no grind).
5. A tuning spreadsheet spec: columns for each source or sink, its value, who it affects, and a sensitivity note (which 2-3 numbers move the whole balance most). The sheet must be rebalanceable by editing numbers, not by redoing formulas.

Rules:
- Show the math. Every daily total is the sum of listed line items, not an assertion.
- Be explicit about assumptions (session count, win rate, reward cadence) and mark guesses as assumptions.
- Do not claim a specific retention or revenue outcome. This models the currency, not player psychology.

Output: the source table, the sink table, the net-flow plus inflation analysis per archetype, and the tuning-sheet spec.

Success signal: the output is good only if every daily total is a shown sum of line items, net flow is stated per archetype, and the tuning sheet isolates the 2-3 numbers that most affect balance.