How can I handle this issue?

I have no idea how to approach this problem. Please guide.

Please find my code for reference

Please find my code for reference

Update: I have tried using the Interpolation method to solve this issue as shown in Spatial Thoughts

var days = 30

// For each image in the collection, we need to find all images
// before and after the specified time-window

// This is accomplished using Joins
// We need to do 2 joins
// Join 1: Join the collection with itself to find all images before each image
// Join 2: Join the collection with itself to find all images after each image

// We first define the filters needed for the join

// Define a maxDifference filter to find all images within the specified days
// The filter needs the time difference in milliseconds
// Convert days to milliseconds
var millis = ee.Number(days).multiply(1000*60*60*24)
var maxDiffFilter = ee.Filter.maxDifference({
  difference: millis,
  leftField: 'system:time_start',
  rightField: 'system:time_start'
})

// We need a lessThanOrEquals filter to find all images after a given image
// This will compare the given image's timestamp against other images' timestamps
var lessEqFilter = ee.Filter.lessThanOrEquals({
  leftField: 'system:time_start',
  rightField: 'system:time_start'
})

// We need a greaterThanOrEquals filter to find all images before a given image
// This will compare the given image's timestamp against other images' timestamps
var greaterEqFilter = ee.Filter.greaterThanOrEquals({
  leftField: 'system:time_start',
  rightField: 'system:time_start'
})

// Apply the joins

// For the first join, we need to match all images that are after the given image.
// To do this we need to match 2 conditions
// 1. The resulting images must be within the specified time-window of target image
// 2. The target image's timestamp must be lesser than the timestamp of resulting images
// Combine two filters to match both these conditions
var filter1 = ee.Filter.and(maxDiffFilter, lessEqFilter)
// This join will find all images after, sorted in descending order
// This will gives us images so that closest is last
var join1 = ee.Join.saveAll({
  matchesKey: 'after',
  ordering: 'system:time_start',
  ascending: false})
  
var join1Result = join1.apply({
  primary: filtered,
  secondary: filtered,
  condition: filter1
})
// Each image now as a property called 'after' containing
// all images that come after it within the time-window
print(join1Result.first())

// Do the second join now to match all images within the time-window
// that come before each image
var filter2 = ee.Filter.and(maxDiffFilter, greaterEqFilter)
// This join will find all images before, sorted in ascending order
// This will gives us images so that closest is last
var join2 = ee.Join.saveAll({
  matchesKey: 'before',
  ordering: 'system:time_start',
  ascending: true})
  
var join2Result = join2.apply({
  primary: join1Result,
  secondary: join1Result,
  condition: filter2
})

// Each image now as a property called 'before' containing
// all images that come after it within the time-window
print(join2Result.first())


// Do the interpolation

// We now write a function that will be used to interpolate all images
// This function takes an image and replaces the masked pixels
// with the interpolated value from before and after images.

var interpolateImages = function(image) {
  var image = ee.Image(image)
  // We get the list of before and after images from the image property
  // Mosaic the images so we a before and after image with the closest unmasked pixel
  var beforeImages = ee.List(image.get('before'))
  var beforeMosaic = ee.ImageCollection.fromImages(beforeImages).mosaic()
  var afterImages = ee.List(image.get('after'))
  var afterMosaic = ee.ImageCollection.fromImages(afterImages).mosaic()

  // Interpolation formula
  // y = y1 + (y2-y1)*((t – t1) / (t2 – t1))
  // y = interpolated image
  // y1 = before image
  // y2 = after image
  // t = interpolation timestamp
  // t1 = before image timestamp
  // t2 = after image timestamp
  
  // We first compute the ratio (t – t1) / (t2 – t1)

  // Get image with before and after times
  var t1 = beforeMosaic.select('timestamp').rename('t1')
  var t2 = afterMosaic.select('timestamp').rename('t2')

  var t = image.metadata('system:time_start').rename('t')

  var timeImage = ee.Image.cat([t1, t2, t])

  var timeRatio = timeImage.expression('(t - t1) / (t2 - t1)', {
    't': timeImage.select('t'),
    't1': timeImage.select('t1'),
    't2': timeImage.select('t2'),
  })
  // You can replace timeRatio with a constant value 0.5
  // if you wanted a simple average
  
  // Compute an image with the interpolated image y
  var interpolated = beforeMosaic
    .add((afterMosaic.subtract(beforeMosaic).multiply(timeRatio)))
  // Replace the masked pixels in the current image with the average value
  var result = image.unmask(interpolated)
  return result.copyProperties(image, ['system:time_start'])
}

// map() the function to interpolate all images in the collection
var interpolatedCol = ee.ImageCollection(join2Result.map(interpolateImages))

this reduced the white patches, but not completely.

How do I remove them all?

Here is the updated Code