How to trigger `on_click` event of the button widget with Bokeh

Panel
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1

I am currently learning HoloViz and stumbled up on this Discourse Thread titled How to trigger on_click event of the button widget?. How would one utilize the provided solution on that thread with Bokeh instead of utilizing MatplotLib

import panel as pn
pn.extension()
from random import randint
from panel import widgets as pnw
from matplotlib.figure import Figure

pbutton = pnw.Button(name='Click me', button_type='primary')
# plot = pn.pane.Matplotlib(name='plot') # REPLACE THIS WITH BOKEH


other_button = pnw.Button(name='Other button', button_type='warning')

def b(event):
# REPLACE WITH BOKEH
    fig = Figure()
    ax = fig.add_subplot()
# ------------------
    ax.plot([randint(0,10) for i in range(10)])
    plot.object = fig
    
pbutton.on_click(b)

def c(e):
    pbutton.clicks += 1

other_button.on_click(c)
#pbutton.click() <--- I would put my trigger here
pbutton.clicks += 1

pn.Column(pbutton, plot, other_button).servable()
2

Maybe

   import panel as pn
   from bokeh.plotting import figure
   from bokeh.models import ColumnDataSource

   # Create a button widget
   button = pn.widgets.Button(name='Click me!')

   # Create a Bokeh plot
   p = figure(width=500, height=300)
   cds = ColumnDataSource(data={'x': [0], 'y': [0]})
   p.line(x='x', y='y', source=cds)

   # Create a Panel pane to display the plot
   pane = pn.pane.Bokeh(p)

   # Define a callback function
   def update(event):
       # Update the data
       cds.stream({'x': [cds.data['x'][-1] + 1], 'y': [cds.data['y'][-1] + 1]})

       # Trigger an update of the Bokeh pane
       pane.param.trigger('object')

   # Register the callback function
   button.on_click(update)

   # Display the button and the plot
   pn.Row(button, pane).servable()