Preserving Input and Output Values When Creating New Tabs via Modules

Hello! I am encountering a peculiar issues in my Shiny app where after I press the "+" button in my list of tabs, all the input and output values from prior tabs are reset/wiped. Is there a way to preserve the input and output values regardless of the number of times I generate a new tab?

My code is outlined as follows:

from shiny import App, Inputs, Outputs, Session, module, reactive, render, ui

# Create a Module UI
@module.ui
def textbox_ui(panelNum):
    return ui.nav_panel(
        f"Tab {panelNum}",
        ui.input_text_area(id=f"test_text",
                           label = "Enter some text"),
        ui.output_ui(f"display_text_{panelNum}"),
        value = f"Tab_{panelNum}"
    )

# Set up module server
@module.server
def textbox_server(input, output, session, panelNum):

    @output(id=f"display_text_{panelNum}")
    @render.text
    def return_text():
       return input[f"test_text"]()


# Set up app UI
app_ui = ui.page_fluid(
    ui.h2('Test App', align='center', fillable=True),
    ui.output_ui("tab_UI"),
    title = "Test App"
)

# Set up server
def server(input, output, session):
   
   # Set up reactive values
   navs = reactive.value(0)
   
   # Add tabs if the user presses "+"
   @reactive.effect
   @reactive.event(input.shiny_tabs)
   def add_tabs():
      if input.shiny_tabs() == "+":
          navs.set(navs.get() + 1)
   
   @output
   @render.ui
   def tab_UI():
      [textbox_server(str(x), panelNum=x+1) for x in range(navs.get())]
      ui.update_navs("shiny_tabs", selected = f"Tab_{navs.get()}")

      return ui.navset_tab(
         ui.nav_panel("Home",
                      ui.card(
                         ui.card_header("Overview"),
                         ui.p("An example of the outputs clearing")
                         ),
                      value = "panel0"
                      ),
        *[textbox_ui(str(x), panelNum=x+1) for x in range(navs.get())],
        ui.nav_panel("+"),
        id = "shiny_tabs"
     )

app = App(app_ui, server)

Thanks for looking into it!