Replace thinking with native Gemini thinking summaries (#400)

This uses Gemini's native [thinking
summaries](https://cloud.google.com/vertex-ai/generative-ai/docs/thinking#thought-summaries)
which were recently added to the API.

Why? The grafted thinking would sometimes cause weird issues where the
model, especially Gemini 2.5 Flash, got confused and put dyad tags like
`<dyad-write>` inside the `<think>` tags.

This also improves the UX because you can see the native thoughts rather
than having the Gemini response load for a while without any feedback.

I tried adding Anthropic extended thinking, however it requires temp to
be set at 1, which isn't ideal for Dyad's use case where we need precise
syntax following.

package-lock.json

@@ -10,7 +10,7 @@
       "license": "MIT",
       "dependencies": {
         "@ai-sdk/anthropic": "^1.2.8",
-        "@ai-sdk/google": "^1.2.10",
+        "@ai-sdk/google": "^1.2.19",
         "@ai-sdk/openai": "^1.3.7",
         "@ai-sdk/openai-compatible": "^0.2.13",
         "@biomejs/biome": "^1.9.4",
@@ -135,13 +135,13 @@
       }
     },
     "node_modules/@ai-sdk/google": {
-      "version": "1.2.14",
-      "resolved": "https://registry.npmjs.org/@ai-sdk/google/-/google-1.2.14.tgz",
-      "integrity": "sha512-r3FSyyWl0KVjUlKn5o+vMl+Nk8Z/mV6xrqW+49g7fMoRVr/wkRxJZtHorrdDGRreCJubZyAk8ziSQSLpgv2H6w==",
+      "version": "1.2.19",
+      "resolved": "https://registry.npmjs.org/@ai-sdk/google/-/google-1.2.19.tgz",
+      "integrity": "sha512-Xgl6eftIRQ4srUdCzxM112JuewVMij5q4JLcNmHcB68Bxn9dpr3MVUSPlJwmameuiQuISIA8lMB+iRiRbFsaqA==",
       "license": "Apache-2.0",
       "dependencies": {
         "@ai-sdk/provider": "1.1.3",
-        "@ai-sdk/provider-utils": "2.2.7"
+        "@ai-sdk/provider-utils": "2.2.8"
       },
       "engines": {
         "node": ">=18"
@@ -150,6 +150,23 @@
         "zod": "^3.0.0"
       }
     },
+    "node_modules/@ai-sdk/google/node_modules/@ai-sdk/provider-utils": {
+      "version": "2.2.8",
+      "resolved": "https://registry.npmjs.org/@ai-sdk/provider-utils/-/provider-utils-2.2.8.tgz",
+      "integrity": "sha512-fqhG+4sCVv8x7nFzYnFo19ryhAa3w096Kmc3hWxMQfW/TubPOmt3A6tYZhl4mUfQWWQMsuSkLrtjlWuXBVSGQA==",
+      "license": "Apache-2.0",
+      "dependencies": {
+        "@ai-sdk/provider": "1.1.3",
+        "nanoid": "^3.3.8",
+        "secure-json-parse": "^2.7.0"
+      },
+      "engines": {
+        "node": ">=18"
+      },
+      "peerDependencies": {
+        "zod": "^3.23.8"
+      }
+    },
     "node_modules/@ai-sdk/openai": {
       "version": "1.3.21",
       "resolved": "https://registry.npmjs.org/@ai-sdk/openai/-/openai-1.3.21.tgz",