Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.NOTICE : ONUHDD :: DULCET : ?

Let's look at the relationship between NOTICE and ONUHDD:Divide the 6-letter word NOTICE into two halves: NOT and ICE.First half (NOT): Swap the first two letters or shift them:$\text{N}\to \text{O}$ (+1)$\text{O}\to \text{N}$ (-1)$\text{T}\to \text{U}$ (+1)Let's check if it is a cross pattern:$\text{N}\stackrel{\text{cross to 2nd}}{\to }\text{N}$$\text{O}\stackrel{\text{cross to 1st}}{\to }\text{O}$$\text{T}\stackrel{\text{straight to 3rd}}{\to }\text{U}$ (+1)Second half (ICE):$\text{I}\to \text{H}$ (-1)$\text{C}\to \text{D}$ (+1)$\text{E}\to \text{D}$ (-1)Let's test this combination on DULCET:First half is DUL:Interchanging first two letters gives UD.Adding +1 to the 3rd letter ($\text{L}+1=\text{M}$).So first three letters should be UDM? None of the options start with UDM.Let's look for alternative patterns:$\text{N}(+1)\to \text{O}$$\text{O}(-1)\to \text{N}$$\text{T}(+1)\to \text{U}$$\text{I}(-1)\to \text{H}$$\text{C}(+1)\to \text{D}$$\text{E}(-1)\to \text{D}$ Wow, this is a simple alternating addition and subtraction pattern: $+1,-1,+1,-1,+1,-1$.Let's check:$\text{N}+1=\text{O}$$\text{O}-1=\text{N}$$\text{T}+1=\text{U}$$\text{I}-1=\text{H}$$\text{C}+1=\text{D}$$\text{E}-1=\text{D}$ This matches ONUHDD perfectly!Now, let's apply this same alternating $+1,-1$ pattern to DULCET:$\text{D}+1=\text{E}$$\text{U}-1=\text{T}$$\text{L}+1=\text{M}$$\text{C}-1=\text{B}$$\text{E}+1=\text{F}$$\text{T}-1=\text{S}$ Combining these gives ETMBFS.