chore: rename libs→common_libs, all bot dirs to _garage suffix, fix all path refs

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

PPO_Bot_garage/controllers.nim

@@ -0,0 +1,24 @@
+## Pure tick-level controllers for goto(x,y) and aimTo(x,y).
+## No bot object needed — all inputs are explicit parameters.
+
+import tankroyale_botapi
+
+proc gotoTick*(targetX, targetY, botX, botY, direction, speed: float): (float, float) =
+  ## Returns (targetSpeed, turnRate) to drive toward (targetX, targetY).
+  ## Selects forward or reverse automatically based on bearing.
+  let bearing = normalizeRelativeAngle(directionTo(botX, botY, targetX, targetY) - direction)
+  let (dirSign, effBearing) =
+    if abs(bearing) > 90.0:
+      (-1.0, normalizeRelativeAngle(bearing + 180.0))
+    else:
+      (1.0, bearing)
+  let dist       = distanceTo(botX, botY, targetX, targetY)
+  let maxTurn    = calcMaxTurnRate(speed)
+  let turnRate   = effBearing.clamp(-maxTurn, maxTurn)
+  let rawSpeed   = getNewTargetSpeed(MAX_SPEED, abs(speed), dist)
+  (dirSign * rawSpeed, turnRate)
+
+proc aimToTick*(targetX, targetY, botX, botY, gunDirection: float): float =
+  ## Returns gunTurnRate (clamped to ±MAX_GUN_TURN_RATE) to rotate gun toward target.
+  let bearing = normalizeRelativeAngle(directionTo(botX, botY, targetX, targetY) - gunDirection)
+  bearing.clamp(-MAX_GUN_TURN_RATE, MAX_GUN_TURN_RATE)