[BUG] Pico Search component doesn't work as expected

[StanleyTack]

Describe the bug
Using the Pico Search component does not reproduce UI elements like in teh pico docs https://picocss.com/docs/group#search

Minimal Reproducible Example

from fasthtml.common import *
app, rt = fast_app(
    hdrs=(picolink,),
)
def search_form():
    return Search(
        Input(name="search", type="search", placeholder="search"),
        Input(type="submit", value="search"),cls="container")

result:

<search class="container">       
       <input name="search" type="search" placeholder="search">
       <input type="submit" value="search">
</search>

Expected behavior
Expected:

Visually, the textbox has the correct style but the submit button does not.
Expected html per picocss docs

<form role="search">
  <input name="search" type="search" placeholder="Search" />
  <input type="submit" value="Search" />
</form>

Environment Information
Please provide the following version information:

• fastlite version: 0.0.11
• fastcore version: 1.7.10
• fasthtml version: 0.6.9

Confirmation
Please confirm the following:

• I have read the FAQ (https://docs.fastht.ml/explains/faq.html)
• I have provided a minimal reproducible example
• I have included the versions of fastlite, fastcore, and fasthtml
• I understand that this is a volunteer open source project with no commercial support.

Additional context
Add any other context about the problem here.

Screenshots
If applicable, add screenshots to help explain your problem.

[StanleyTack]

Workaround:

• use a Group instead of Search.
• then instead of Input with type=Submit, use a Button with type=Submit and role=Search
• also need to wrap the Group in a Form to make it a form

search_form = Form(method="get", action="/", id="search-form")(
        Group(
            Input(type="search", name="search", placeholder="search", value=search_query),
            Button("Search", type="submit", role="search"),
        ),
    )

result HTML:

<form enctype="multipart/form-data" method="get" action="/" id="search-form" name="search-form">
     <fieldset role="group">
           <input type="search" name="search" placeholder="search">
           <button type="submit" role="search">Search</button>
     </fieldset>
</form>

[pydanny]

I just validated this error here, while also confirming that other fasthml.components work:

from fasthtml.common import *
from fasthtml.components import Search

app, rt = fast_app()

@rt
def index():
    return Titled("Search",
        co.Search(Input(type="search"), Button("Search")),
        Grid(Div('one'), Div('2'))
    )

serve()