fix(webapp): reset the seek budget when the agent logo changes seek mode

Switching from the next-shape search to the settle-to-rest search reused the spent step budget, so the fallback could fire immediately and snap the logo back from an arbitrary dot instead of one shared with the rest shape.

Author: samejr

apps/webapp/app/routes/storybook.ai-agent/AgentDotMatrix.tsx

@@ -503,8 +503,13 @@ export function AgentDotMatrix({
       history.unshift(route[headPos]);
       if (history.length > SNAKE_TAIL.length) history.length = SNAKE_TAIL.length;
 
+      // Every change of seek mode restarts the step budget, so each search gets
+      // a full lap to find a shared dot before its fallback fires.
       if (!activeRef.current) {
-        seeking = "rest";
+        if (seeking !== "rest") {
+          seeking = "rest";
+          seekSteps = 0;
+        }
       } else {
         if (seeking === "rest") {
           // Re-activated mid-settle: cancel the pending return to rest so a
@@ -514,6 +519,7 @@ export function AgentDotMatrix({
         }
         if (seeking !== "next" && stepsInShape >= cyclesPerShape * route.length) {
           seeking = "next";
+          seekSteps = 0;
         }
       }
       if (!seeking) return;