fix: update package name references to dotpromptz-handlebars (#403)

* docs: clarify input.default type in frontmatter docs

- Change input.default type from 'any' to 'Map<string,any>'
- Aligns documentation with TypeScript implementation
- Fixes #306

* docs: clarify picoschema usage in frontmatter docs

- Add Picoschema links to input.schema and output.schema descriptions
- Explain that Picoschema is a compact YAML format that compiles to JSON Schema
- Resolves confusion about schema syntax vs standard JSON Schema

Fixes #307

* fix: update package name references to dotpromptz-handlebars

- Update smoke_tests dependency from dotprompt-handlebars to dotpromptz-handlebars
- Update README title to match actual PyPI package name
- Completes rename from PR #353 that missed these 2 files

Fixes #344

Author: nickita-khylkouski

python/handlebarrz/README.md

@@ -1,3 +1,3 @@
-# dotprompt-handlebars
+# dotpromptz-handlebars
 
 **DISCLAIMER**: Project only intended to be used for dotprompt package. Support for other use cases is not guaranteed. 

python/handlebarrz/smoke_tests/pyproject.toml

@@ -16,7 +16,7 @@
 
 [project]
 authors         = [{ name = "Abraham Lazaro", email = "lazaromartinez@google.com" }]
-dependencies    = ["dotprompt-handlebars>=0.0.1.dev1"]
+dependencies    = ["dotpromptz-handlebars>=0.1.3"]
 name            = "handlebarrz-smoke-tests"
 readme          = "README.md"
 requires-python = ">=3.10"

third_party/docsite/src/content/docs/reference/frontmatter.mdx

@@ -117,11 +117,11 @@ metadata:
 - **Description:** Defines the input variables the prompt. If `input` is not specified, the implementation should accept any `Map<string,any>` values as input and pass them to the prompt template.
 - **Properties:**
   - `default`:
-    - **Type:** `any`
+    - **Type:** `Map<string,any>`
     - **Description:** Defines the default input variable values to use if none are provided. Input values passed from the implementation should be merged into these values with a shallow merge strategy.
   - `schema`:
     - **Type:** [Schema](schema)
-    - **Description:** Schema representing the input values for the prompt. Must correspond to a JSON Schema `object` type.
+    - **Description:** Schema representing the input values for the prompt. Schemas use [Picoschema](/reference/picoschema/) syntax—a compact YAML format that compiles to JSON Schema.
 
 ### `output`
 
@@ -134,7 +134,7 @@ metadata:
     - **Description:** Desired output format for this prompt. Output formats are implementation-specific, but
   - `schema`:
     - **Type:** [Schema](schema)
-    - **Description:** Schema representing the expected output from the prompt. Must correspond to a JSON Schema `object` type.
+    - **Description:** Schema representing the expected output from the prompt. Schemas use [Picoschema](/reference/picoschema/) syntax—a compact YAML format that compiles to JSON Schema.
 
 ### `metadata`